Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...143..256v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 143, no. 2, Feb. 1985, p. 256-266. Sponsorship: Fonds de la Recherche Fondamen
Astronomy and Astrophysics
Astrophysics
7
Continuous Spectra, Dynamic Stability, Kelvin-Helmholtz Instability, Stellar Models, Stellar Oscillations, Stellar Rotation, Differential Equations, Eigenvalues, Gravity Waves, Modal Response, Polytropic Processes, Rotating Cylinders, Stellar Gravitation
Scientific paper
The influence of a differential rotation on the oscillations and the dynamical stability of self-gravitating cylinders is investigated. The author discusses the solutions associated with the continuous spectrum of eigenfrequencies of cylinders with an arbitrary equation of state and an arbitrary law for the differential rotation. To investigate the influence of the differential rotation on the normal modes with discrete eigenfrequencies, the author determines non-axisymmetric oscillations of polytropic cylinders with a parabolic law for the rotation. All non-axisymmetric modes with real eigenfrequencies can be identified as p-, g-, and f-modes modified by the differential rotation.
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